To solve the problem, we need to work our way up the Christmas tree by performing addition and subtraction operations step by step. Let's start from the bottom and move upwards.
Step 1: Identify the given numbers at the bottom
The bottom row of the Christmas tree has the following numbers:
-10, -7, -2, 1, 4, 9, 14, 22
Step 2: Work upwards using the operations provided
We will use the operations (addition or subtraction) indicated on the branches to find the missing numbers.
#### Bottom Row:
- The numbers are already given: -10, -7, -2, 1, 4, 9, 14, 22.
#### Second Row:
- Starting from the left:
- From -10, add -14: \(-10 + (-14) = -24\)
- From -7, subtract -5: \(-7 - (-5) = -7 + 5 = -2\)
- From -2, add 3: \(-2 + 3 = 1\)
- From 1, subtract -3: \(1 - (-3) = 1 + 3 = 4\)
- From 4, add 10: \(4 + 10 = 14\)
- From 9, subtract 3: \(9 - 3 = 6\)
- From 14, add 8: \(14 + 8 = 22\)
So, the second row is: -24, -2, 1, 4, 14, 6, 22.
#### Third Row:
- Starting from the left:
- From -24, add -14: \(-24 + (-14) = -38\)
- From -2, subtract -5: \(-2 - (-5) = -2 + 5 = 3\)
- From 1, add 3: \(1 + 3 = 4\)
- From 4, subtract -3: \(4 - (-3) = 4 + 3 = 7\)
- From 14, add 10: \(14 + 10 = 24\)
- From 6, subtract 3: \(6 - 3 = 3\)
- From 22, add 8: \(22 + 8 = 30\)
So, the third row is: -38, 3, 4, 7, 24, 3, 30.
#### Fourth Row:
- Starting from the left:
- From -38, add -14: \(-38 + (-14) = -52\)
- From 3, subtract -5: \(3 - (-5) = 3 + 5 = 8\)
- From 4, add 3: \(4 + 3 = 7\)
- From 7, subtract -3: \(7 - (-3) = 7 + 3 = 10\)
- From 24, add 10: \(24 + 10 = 34\)
- From 3, subtract 3: \(3 - 3 = 0\)
- From 30, add 8: \(30 + 8 = 38\)
So, the fourth row is: -52, 8, 7, 10, 34, 0, 38.
#### Fifth Row:
- Starting from the left:
- From -52, add -14: \(-52 + (-14) = -66\)
- From 8, subtract -5: \(8 - (-5) = 8 + 5 = 13\)
- From 7, add 3: \(7 + 3 = 10\)
- From 10, subtract -3: \(10 - (-3) = 10 + 3 = 13\)
- From 34, add 10: \(34 + 10 = 44\)
- From 0, subtract 3: \(0 - 3 = -3\)
- From 38, add 8: \(38 + 8 = 46\)
So, the fifth row is: -66, 13, 10, 13, 44, -3, 46.
#### Sixth Row:
- Starting from the left:
- From -66, add -14: \(-66 + (-14) = -80\)
- From 13, subtract -5: \(13 - (-5) = 13 + 5 = 18\)
- From 10, add 3: \(10 + 3 = 13\)
- From 13, subtract -3: \(13 - (-3) = 13 + 3 = 16\)
- From 44, add 10: \(44 + 10 = 54\)
- From -3, subtract 3: \(-3 - 3 = -6\)
- From 46, add 8: \(46 + 8 = 54\)
So, the sixth row is: -80, 18, 13, 16, 54, -6, 54.
#### Seventh Row:
- Starting from the left:
- From -80, add -14: \(-80 + (-14) = -94\)
- From 18, subtract -5: \(18 - (-5) = 18 + 5 = 23\)
- From 13, add 3: \(13 + 3 = 16\)
- From 16, subtract -3: \(16 - (-3) = 16 + 3 = 19\)
- From 54, add 10: \(54 + 10 = 64\)
- From -6, subtract 3: \(-6 - 3 = -9\)
- From 54, add 8: \(54 + 8 = 62\)
So, the seventh row is: -94, 23, 16, 19, 64, -9, 62.
#### Top Hexagon:
- From 23, subtract -5: \(23 - (-5) = 23 + 5 = 28\)
- From 16, add 3: \(16 + 3 = 19\)
- From 19, subtract -3: \(19 - (-3) = 19 + 3 = 22\)
- From 64, add 10: \(64 + 10 = 74\)
- From -9, subtract 3: \(-9 - 3 = -12\)
- From 62, add 8: \(62 + 8 = 70\)
So, the top hexagon is: 28, 19, 22, 74, -12, 70.
Final Answer:
The number at the top of the Christmas tree is:
\[
\boxed{28}
\]
Parent Tip: Review the logic above to help your child master the concept of 5th grade math fun worksheet.